We will use state-of-the-art hydrodynamical simulations, such as the Three-Hundred project [1]}, to select a series of synthetic samples of the same statistical or morphological properties as the LPSZ sample, and coming along with mock observations in SZ, X-ray and optical. These twin samples will be key to test novel methods, to assess the impact of dynamical state on cluster properties, to forecast the LPSZ sample sensitivity to redshift or mass evolution, to obtain accurate uncertainties on scaling laws and biases and to explore the LPSZ sample capability to measure the gas fraction or the Hubble parameter.
